On derived equivalence classification of gentle two-cycle algebras

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INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES

Abstract

We classify, up to derived (equivalently, tilting-cotilting) equivalence all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.

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derived category, gentle algebra, tilting-cotilting equivalence

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Colloquium Mathematicum 112 (2008), no. 1, 33--72

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